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84413490 = 23572983167
BaseRepresentation
bin1010000100000…
…00110000110010
312212211122112120
411002000300302
5133102212430
612213135110
72043334320
oct502006062
9185748476
1084413490
1143716117
122432a496
1314647215
14b2d4d10
157626610
hex5080c32

84413490 has 128 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 18294528.

The previous prime is 84413489. The next prime is 84413491. The reversal of 84413490 is 9431448.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84413489) and next prime (84413491).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84413491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505387 + ... + 505553.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 284413490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84413490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

84413490 is an abundant number, since it is smaller than the sum of its proper divisors (159441870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84413490 is a wasteful number, since it uses less digits than its factorization.

84413490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84413490 is about 9187.6814267801. The cubic root of 84413490 is about 438.6693441888.

The spelling of 84413490 in words is "eighty-four million, four hundred thirteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 83 87 105 145 166 167 174 203 210 249 290 334 406 415 435 498 501 581 609 830 835 870 1002 1015 1162 1169 1218 1245 1670 1743 2030 2338 2407 2490 2505 2905 3045 3486 3507 4814 4843 5010 5810 5845 6090 7014 7221 8715 9686 11690 12035 13861 14442 14529 16849 17430 17535 24070 24215 27722 29058 33698 33901 35070 36105 41583 48430 50547 67802 69305 72210 72645 83166 84245 97027 101094 101703 138610 145290 168490 169505 194054 203406 207915 252735 291081 339010 401969 415830 485135 505470 508515 582162 803938 970270 1017030 1205907 1455405 2009845 2411814 2813783 2910810 4019690 5627566 6029535 8441349 12059070 14068915 16882698 28137830 42206745 84413490